Question

Use the Binomial Theorem to expand (c – 11)4. Question 4 options:c4 – 44c3 + 726c2 – 5324c + 1464111c4 + 44c3 + 726c2 + 5324c + 14641cc4 + 44c3 + 726c2 + 5324c + 14641c4 – 44c3 + 726c2 – 5324c + 14641

Answer 1

`c^4-44c^3+726c^2-5324c+14641`

Step-by-step explanation:

The Binomial theorem is given by the formula;

`(x+y)^n=_{}\sum ^n_(k\mathop=0)nC_kx^(n-k)y^k`

Given the below;

`(c-11)^4`

We'll go ahead and use the Binomial theorem formula above to expand where;

`\begin{gathered} x=c \\ y=-11 \\ n=4 \end{gathered}`

So we'll have;